Dynamics of simplified HPT model in relation to 24h TSH profiles
Mathematica Applicanda, Tome 46 (2018) no. 1, pp. 13-24
Cet article a éte moissonné depuis la source Annales Societatis Mathematicae Polonae Series
We propose a simplified mathematical model of the hypothalamus-pituitary-thyroid (HPT) axis in an endocrine system. The considered model is a modification of the model proposed by Mukhopadhyay in [9]. Our system of delay differential equations reconstructs the HPT-axis in relation to 24h profiles of human in physiological conditions. Homeostatic control of the thyroid-pituitary axis is considered by using feedback and delay in our model. The influence of delayed feedback on the stability behaviour of the system is discussed.
@article{10_14708_ma_v46i1_6389,
author = {Agnieszka Bart{\l}omiejczyk and Beata Jackowska-Zduniak},
title = {Dynamics of simplified {HPT} model in relation to 24h {TSH} profiles},
journal = {Mathematica Applicanda},
pages = { 13--24},
year = {2018},
volume = {46},
number = {1},
doi = {10.14708/ma.v46i1.6389},
language = {pl},
url = {http://geodesic.mathdoc.fr/articles/10.14708/ma.v46i1.6389/}
}
TY - JOUR AU - Agnieszka Bartłomiejczyk AU - Beata Jackowska-Zduniak TI - Dynamics of simplified HPT model in relation to 24h TSH profiles JO - Mathematica Applicanda PY - 2018 SP - 13 EP - 24 VL - 46 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.14708/ma.v46i1.6389/ DO - 10.14708/ma.v46i1.6389 LA - pl ID - 10_14708_ma_v46i1_6389 ER -
%0 Journal Article %A Agnieszka Bartłomiejczyk %A Beata Jackowska-Zduniak %T Dynamics of simplified HPT model in relation to 24h TSH profiles %J Mathematica Applicanda %D 2018 %P 13-24 %V 46 %N 1 %U http://geodesic.mathdoc.fr/articles/10.14708/ma.v46i1.6389/ %R 10.14708/ma.v46i1.6389 %G pl %F 10_14708_ma_v46i1_6389
Agnieszka Bartłomiejczyk; Beata Jackowska-Zduniak. Dynamics of simplified HPT model in relation to 24h TSH profiles. Mathematica Applicanda, Tome 46 (2018) no. 1, pp. 13-24. doi: 10.14708/ma.v46i1.6389
Cité par Sources :